Elliptic curve search results

Results (14 matches)

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Label	Cremona label	Class	Cremona class	Class size	Class degree	Conductor	Discriminant	Rank	Torsion	$\textrm{End}^0(E_{\overline\Q})$	CM	Sato-Tate	Semistable	Potentially good	Nonmax $\ell$	$\ell$-adic images	mod-$\ell$ images	Adelic level	Adelic index	Adelic genus	Regulator	$Ш_{\textrm{an}}$	Ш primes	Integral points	Modular degree	Faltings height	j-invariant	$abc$ quality	Szpiro ratio	Intrinsic torsion order	Weierstrass coefficients	Weierstrass equation	mod-$m$ images	MW-generators	Manin constant
4902.c1	4902c1	4902.c	4902c	$2$	$2$	\( 2 \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{18} \cdot 3^{4} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$	✓		$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$1$		$1$	$20736$	$1.144941$	$10824513276632329/6262593159168$	$1.05109$	$4.34493$	$1$	$[1, 1, 0, -4608, 0]$	\(y^2+xy=x^3+x^2-4608x\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$
14706.m1	14706t1	14706.m	14706t	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{18} \cdot 3^{10} \cdot 19^{3} \cdot 43 \)	$2$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$0.385285919$	$1$		$35$	$165888$	$1.694246$	$10824513276632329/6262593159168$	$1.05109$	$4.53441$	$1$	$[1, -1, 1, -41477, -41475]$	\(y^2+xy+y=x^3-x^2-41477x-41475\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(-49, 1392), (-201, 480)]$	$1$
39216.bk1	39216y1	39216.bk	39216y	$2$	$2$	\( 2^{4} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{30} \cdot 3^{4} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$4$	$2$	$1$	$497664$	$1.838087$	$10824513276632329/6262593159168$	$1.05109$	$4.27711$	$1$	$[0, 1, 0, -73736, -147468]$	\(y^2=x^3+x^2-73736x-147468\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$
93138.bl1	93138bj1	93138.bl	93138bj	$2$	$2$	\( 2 \cdot 3 \cdot 19^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{4} \cdot 19^{9} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$1$		$1$	$7464960$	$2.617161$	$10824513276632329/6262593159168$	$1.05109$	$4.77084$	$1$	$[1, 0, 0, -1663676, -13308912]$	\(y^2+xy=x^3-1663676x-13308912\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$
117648.d1	117648bm1	117648.d	117648bm	$2$	$2$	\( 2^{4} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{30} \cdot 3^{10} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$1$		$1$	$3981312$	$2.387394$	$10824513276632329/6262593159168$	$1.05109$	$4.43923$	$1$	$[0, 0, 0, -663627, 3318010]$	\(y^2=x^3-663627x+3318010\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$
122550.cj1	122550ch1	122550.cj	122550ch	$2$	$2$	\( 2 \cdot 3 \cdot 5^{2} \cdot 19 \cdot 43 \)	\( 2^{18} \cdot 3^{4} \cdot 5^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$0.514862749$	$1$		$9$	$1658880$	$1.949659$	$10824513276632329/6262593159168$	$1.05109$	$3.97543$	$1$	$[1, 0, 0, -115213, 230417]$	\(y^2+xy=x^3-115213x+230417\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(386, 3455)]$	$1$
156864.c1	156864x1	156864.c	156864x	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{36} \cdot 3^{4} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$3.816726338$	$1$		$3$	$3981312$	$2.184662$	$10824513276632329/6262593159168$	$1.05109$	$4.12912$	$1$	$[0, -1, 0, -294945, -884799]$	\(y^2=x^3-x^2-294945x-884799\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(-245, 7524)]$	$1$
156864.bx1	156864bv1	156864.bx	156864bv	$2$	$2$	\( 2^{6} \cdot 3 \cdot 19 \cdot 43 \)	\( 2^{36} \cdot 3^{4} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$5.613347958$	$1$		$3$	$3981312$	$2.184662$	$10824513276632329/6262593159168$	$1.05109$	$4.12912$	$1$	$[0, 1, 0, -294945, 884799]$	\(y^2=x^3+x^2-294945x+884799\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(1017, 27456)]$	$1$
210786.bb1	210786b1	210786.bb	210786b	$2$	$2$	\( 2 \cdot 3 \cdot 19 \cdot 43^{2} \)	\( 2^{18} \cdot 3^{4} \cdot 19^{3} \cdot 43^{7} \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$1$		$1$	$38320128$	$3.025539$	$10824513276632329/6262593159168$	$1.05109$	$4.85274$	$1$	$[1, 0, 0, -8521155, -153375039]$	\(y^2+xy=x^3-8521155x-153375039\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$
240198.v1	240198v1	240198.v	240198v	$2$	$2$	\( 2 \cdot 3 \cdot 7^{2} \cdot 19 \cdot 43 \)	\( 2^{18} \cdot 3^{4} \cdot 7^{6} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$5.407510602$	$1$		$3$	$7464960$	$2.117897$	$10824513276632329/6262593159168$	$1.05109$	$3.92245$	$1$	$[1, 0, 1, -225818, -677428]$	\(y^2+xy+y=x^3-225818x-677428\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(-78, 4096)]$	$1$
279414.b1	279414b1	279414.b	279414b	$2$	$2$	\( 2 \cdot 3^{2} \cdot 19^{2} \cdot 43 \)	\( 2^{18} \cdot 3^{10} \cdot 19^{9} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$2.234849178$	$1$		$3$	$59719680$	$3.166466$	$10824513276632329/6262593159168$	$1.05109$	$4.87852$	$1$	$[1, -1, 0, -14973084, 359340624]$	\(y^2+xy=x^3-x^2-14973084x+359340624\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(12849, 1382523)]$	$1$
367650.bf1	367650bf1	367650.bf	367650bf	$2$	$2$	\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 19 \cdot 43 \)	\( 2^{18} \cdot 3^{10} \cdot 5^{6} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$1$		$1$	$13271040$	$2.498966$	$10824513276632329/6262593159168$	$1.05109$	$4.14899$	$1$	$[1, -1, 0, -1036917, -6221259]$	\(y^2+xy=x^3-x^2-1036917x-6221259\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$
470592.fl1	470592fl1	470592.fl	470592fl	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{36} \cdot 3^{10} \cdot 19^{3} \cdot 43 \)	$1$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$22.74852420$	$1$		$1$	$31850496$	$2.733967$	$10824513276632329/6262593159168$	$1.05109$	$4.28648$	$1$	$[0, 0, 0, -2654508, -26544080]$	\(y^2=x^3-2654508x-26544080\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[(-7541245740/2713, 803140033875520/2713)]$	$1$
470592.fo1	470592fo1	470592.fo	470592fo	$2$	$2$	\( 2^{6} \cdot 3^{2} \cdot 19 \cdot 43 \)	\( 2^{36} \cdot 3^{10} \cdot 19^{3} \cdot 43 \)	$0$	$\Z/2\Z$	$\Q$		$\mathrm{SU}(2)$			$2$	8.6.0.4	2B	$6536$	$12$	$0$	$1$	$4$	$2$	$1$	$31850496$	$2.733967$	$10824513276632329/6262593159168$	$1.05109$	$4.28648$	$1$	$[0, 0, 0, -2654508, 26544080]$	\(y^2=x^3-2654508x+26544080\)	2.3.0.a.1, 8.6.0.d.1, 1634.6.0.?, 6536.12.0.?	$[ ]$	$1$

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